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math.RA2004★ 3 cited
(-1,-1)-Balanced Freudenthal Kantor triple systems and noncommutative Jordan algebras
Alberto Elduque, Noriaki Kamiya, Susumu Okubo
A noncommutative Jordan algebra of a specific type is attached to any (-1,-1)-balanced Freudenthal Kantor triple system, in such a way that the triple product in this system is det…
math.RA2002
A Peirce decomposition for generalized Jordan triple systems of second order
Issai Kantor, Noriaki Kamiya
A tripotent of a generalized triple system of second order defines a decomposition of the space of the space which consist of 10 components. It gives a generalization of the Peirce…